349144825920
349,144,825,920 is an even composite number composed of seven prime numbers multiplied together.
349144825920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 349144825920:
26 × 3 × 5 × 11 × 31 × 139 × 7673
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 31 × 139 × 7673)See below for interesting mathematical facts about the number 349144825920 from the Numbermatics database.
Names of 349144825920
- Cardinal: 349144825920 can be written as Three hundred forty-nine billion, one hundred forty-four million, eight hundred twenty-five thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 3.4914482592 × 1011
Factors of 349144825920
Divisors of 349144825920
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 31 32 33 40 44 48 55 60 62 64 66 80 88 93 96 110 120 124 132 139 155 160 165 176 186 192 220 240 248 264 278 310 320 330 341 352 372 417 440 465 480 496 528 556 620 660 682 695 704 744 834 880 930 960 992 1023 1056 1112 1240 1320 1364 1390 1488 1529 1668 1705 1760 1860 1984 2046 2085 2112 2224 2480 2640 2728 2780 2976 3058 3336 3410 3520 3720 4092 4170 4309 4448 4587 4960 5115 5280 5456 5560 5952 6116 6672 6820 7440 7645 7673 8184 8340 8618 8896 9174 9920 10230 10560 10912 11120 12232 12927 13344 13640 14880 15290 15346 16368 16680 17236 18348 20460 21545 21824 22240 22935 23019 24464 25854 26688 27280 29760 30580 30692 32736 33360 34472 36696 38365 40920 43090 44480 45870 46038 47399 48928 51708 54560 61160 61384 64635 65472 66720 68944 73392 76730 81840 84403 86180 91740 92076 94798 97856 103416 109120 115095 122320 122768 129270 133440 137888 142197 146784 153460 163680 168806 172360 183480 184152 189596 206832 230190 236995 237863 244640 245536 253209 258540 275776 284394 293568 306920 327360 337612 344720 366960 368304 379192 413664 422015 460380 473990 475726 489280 491072 506418 517080 568788 613840 675224 689440 710985 713589 733920 736608 758384 827328 844030 920760 947980 951452 1012836 1034160 1066547 1137576 1189315 1227680 1266045 1350448 1378880 1421970 1427178 1467840 1473216 1516768 1688060 1841520 1895960 1902904 2025672 2068320 2133094 2275152 2378630 2455360 2532090 2616493 2700896 2843940 2854356 3033536 3199641 3376120 3567945 3683040 3791920 3805808 4051344 4136640 4266188 4550304 4757260 5064180 5232986 5332735 5401792 5687880 5708712 6399282 6752240 7135890 7366080 7583840 7611616 7849479 8102688 8532376 9100608 9514520 10128360 10465972 10665470 11375760 11417424 11732017 12798564 13082465 13504480 14271780 15167680 15223232 15698958 15998205 16205376 17064752 19029040 20256720 20931944 21330940 22751520 22834848 23464034 25597128 26164930 27008960 28543560 31397916 31996410 33062957 34129504 35196051 38058080 39247395 40513440 41863888 42661880 45503040 45669696 46928068 51194256 52329860 57087120 58660085 62795832 63992820 66125914 68259008 70392102 76116160 78494790 81026880 83727776 85323760 93856136 99188871 102388512 104659720 114174240 117320170 125591664 127985640 132251828 140784204 156989580 165314785 167455552 170647520 175980255 187712272 198377742 204777024 209319440 228348480 234640340 251183328 255971280 264503656 281568408 313979160 330629570 341295040 351960510 363692527 375424544 396755484 418638880 469280680 495944355 502366656 511942560 529007312 563136816 627958320 661259140 703921020 727385054 750849088 793510968 837277760 938561360 991888710 1023885120 1058014624 1091077581 1126273632 1255916640 1322518280 1407842040 1454770108 1587021936 1818462635 1877122720 1983777420 2116029248 2182155162 2252547264 2511833280 2645036560 2815684080 2909540216 3174043872 3636925270 3754245440 3967554840 4364310324 5290073120 5455387905 5631368160 5819080432 6348087744 7273850540 7935109680 8728620648 10580146240 10910775810 11262736320 11638160864 14547701080 15870219360 17457241296 21821551620 23276321728 29095402160 31740438720 34914482592 43643103240 58190804320 69828965184 87286206480 116381608640 174572412960 349144825920
- Sum of all divisors σ(n): 1257465323520
- Sum of proper divisors (its aliquot sum) s(n): 908320497600
- 349144825920 is an abundant number, because the sum of its proper divisors (908320497600) is greater than itself. Its abundance is 559175671680
Bases of 349144825920
- Binary: 1010001010010101010011101000000010000002
- Hexadecimal: 0x514AA74040
- Base-36: 4GE7TBUO
Squares and roots of 349144825920
- 349144825920 squared (3491448259202) is 121902109466707103846400
- 349144825920 cubed (3491448259203) is 42561490789034235808078690418688000
-
The
square root of 349144825920 is 590884.7822714679 -
The
cube root of 349144825920 is 7041.5543679587
Scales and comparisons
How big is 349144825920?- 349,144,825,920 seconds is equal to 11,101 years, 37 weeks, 5 days, 1 hour, 52 minutes.
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To count from 1 to 349,144,825,920 would take you about twenty-two thousand, two hundred three years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 349144825920 cubic inches would be around 586.8 feet tall.
Recreational maths with 349144825920
- 349144825920 backwards is 029528441943
- The number of decimal digits it has is: 12
- The sum of 349144825920's digits is 51
- More coming soon!
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